write a quadratic polynomial whose one zero 3-√5and product of zero is 8
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As per the above image you can see that x^2 -6x +4
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sum of zero = 3-√5 +8
= 11-√5
product of zero = 3-√5 x 8
= 24 - 8√5
required polynomial
x2 - (sum of zero)x + product of zero
x2 - ( 11 -√5 )x +24 -8√5
x2 -11x + √5x +24 -8√5
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